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Q.

A satellite is rotating in a circular orbit of radius r is around earth with speed V. Due to some reason, its speed is increased to 2 V. Then the satellite

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a

will start moving in a circular orbit of radius 2 r

b

will start moving in an orbit of major radius 2r.

c

will escape from the gravitational field of earth

d

will start moving in an elliptical orbit of major radius 4r.

answer is C.

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Detailed Solution

V = orbital speed =GMrwhen the speed is increased, V1=2V=2GMrBut 2GMr is the escape velocity at any point on the circular orbit of radius r. Hence option (3) is right.
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